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Author ID: ollivier.yann Recent zbMATH articles by "Ollivier, Yann"
Published as: Ollivier, Yann; Ollivier, Y.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 616 times in 429 Documents Cited by Year
Ricci curvature of Markov chains on metric spaces. Zbl 1181.53015
Ollivier, Yann
214
2009
Curvature, concentration and error estimates for Markov chain Monte Carlo. Zbl 1207.65006
Joulin, Aldéric; Ollivier, Yann
49
2010
A January 2005 invitation to random groups. Zbl 1163.20311
Ollivier, Yann
49
2005
A survey of Ricci curvature for metric spaces and Markov chains. Zbl 1204.53035
Ollivier, Yann
42
2010
Ricci curvature of metric spaces. Zbl 1132.53011
Ollivier, Yann
42
2007
Cubulating random groups at density less than \(1/6\). Zbl 1277.20048
Ollivier, Yann; Wise, Daniel T.
38
2011
A curved Brunn-Minkowski inequality on the discrete hypercube, or: what is the Ricci curvature of the discrete hypercube? Zbl 1267.52010
Ollivier, Y.; Villani, C.
28
2012
Sharp phase transition theorems for hyperbolicity of random groups. Zbl 1064.20045
Ollivier, Y.
26
2004
Information-geometric optimization algorithms: a unifying picture via invariance principles. Zbl 1433.90196
Ollivier, Yann; Arnold, Ludovic; Auger, Anne; Hansen, Nikolaus
19
2017
On a small cancellation theorem of Gromov. Zbl 1129.20022
Ollivier, Yann
17
2006
Some small cancellation properties of random groups. Zbl 1173.20025
Ollivier, Yann
14
2007
Riemannian metrics for neural networks. I: Feedforward networks. Zbl 1380.68337
Ollivier, Yann
14
2015
A visual introduction to Riemannian curvatures and some discrete generalizations. Zbl 1279.53013
Ollivier, Yann
13
2013
Online natural gradient as a Kalman filter. Zbl 1447.93352
Ollivier, Yann
12
2018
Kazhdan groups with infinite outer automorphism group. Zbl 1176.20031
Ollivier, Yann; Wise, Daniel T.
11
2007
Cogrowth and spectral gap of generic groups. Zbl 1133.20032
Ollivier, Yann
6
2005
Critical densities for random quotients of hyperbolic groups. Zbl 1050.20048
Ollivier, Yann
6
2003
Optimal transport. Theory and applications. Proceedings of the summer school ‘Optimal transportation: theory and applications’, Fourier Institute, Grenoble, France. Zbl 1301.00076
4
2014
Objective improvement in information-geometric optimization. Zbl 1369.65076
Akimoto, Youhei; Ollivier, Yann
2
2013
Growth exponent of generic groups. Zbl 1113.20065
Ollivier, Yann
2
2006
Natural Langevin dynamics for neural networks. Zbl 1428.82047
Marceau-Caron, Gaétan; Ollivier, Yann
2
2017
Riemannian metrics for neural networks. II: Recurrent networks and learning symbolic data sequences. Zbl 1380.68338
Ollivier, Yann
2
2015
Information-geometric optimization: the interest of information theory for discrete and continuous optimization. (Abstract). Zbl 1311.94030
Ollivier, Yann
1
2013
Observing a Schwarzschild black hole with finite precision. Zbl 1078.83020
Debbasch, F.; Ollivier, Y.
1
2005
Collapsing of random quotients of hyperbolic groups with torsion. (Effondrement de quotients aléatoires de groupes hyperboliques avec torsion.) Zbl 1077.20057
Ollivier, Yann
1
2005
Rate of convergence of crossover operators. Zbl 1051.92030
Ollivier, Yann
1
2003
Online natural gradient as a Kalman filter. Zbl 1447.93352
Ollivier, Yann
12
2018
Information-geometric optimization algorithms: a unifying picture via invariance principles. Zbl 1433.90196
Ollivier, Yann; Arnold, Ludovic; Auger, Anne; Hansen, Nikolaus
19
2017
Natural Langevin dynamics for neural networks. Zbl 1428.82047
Marceau-Caron, Gaétan; Ollivier, Yann
2
2017
Riemannian metrics for neural networks. I: Feedforward networks. Zbl 1380.68337
Ollivier, Yann
14
2015
Riemannian metrics for neural networks. II: Recurrent networks and learning symbolic data sequences. Zbl 1380.68338
Ollivier, Yann
2
2015
Optimal transport. Theory and applications. Proceedings of the summer school ‘Optimal transportation: theory and applications’, Fourier Institute, Grenoble, France. Zbl 1301.00076
4
2014
A visual introduction to Riemannian curvatures and some discrete generalizations. Zbl 1279.53013
Ollivier, Yann
13
2013
Objective improvement in information-geometric optimization. Zbl 1369.65076
Akimoto, Youhei; Ollivier, Yann
2
2013
Information-geometric optimization: the interest of information theory for discrete and continuous optimization. (Abstract). Zbl 1311.94030
Ollivier, Yann
1
2013
A curved Brunn-Minkowski inequality on the discrete hypercube, or: what is the Ricci curvature of the discrete hypercube? Zbl 1267.52010
Ollivier, Y.; Villani, C.
28
2012
Cubulating random groups at density less than \(1/6\). Zbl 1277.20048
Ollivier, Yann; Wise, Daniel T.
38
2011
Curvature, concentration and error estimates for Markov chain Monte Carlo. Zbl 1207.65006
Joulin, Aldéric; Ollivier, Yann
49
2010
A survey of Ricci curvature for metric spaces and Markov chains. Zbl 1204.53035
Ollivier, Yann
42
2010
Ricci curvature of Markov chains on metric spaces. Zbl 1181.53015
Ollivier, Yann
214
2009
Ricci curvature of metric spaces. Zbl 1132.53011
Ollivier, Yann
42
2007
Some small cancellation properties of random groups. Zbl 1173.20025
Ollivier, Yann
14
2007
Kazhdan groups with infinite outer automorphism group. Zbl 1176.20031
Ollivier, Yann; Wise, Daniel T.
11
2007
On a small cancellation theorem of Gromov. Zbl 1129.20022
Ollivier, Yann
17
2006
Growth exponent of generic groups. Zbl 1113.20065
Ollivier, Yann
2
2006
A January 2005 invitation to random groups. Zbl 1163.20311
Ollivier, Yann
49
2005
Cogrowth and spectral gap of generic groups. Zbl 1133.20032
Ollivier, Yann
6
2005
Observing a Schwarzschild black hole with finite precision. Zbl 1078.83020
Debbasch, F.; Ollivier, Y.
1
2005
Collapsing of random quotients of hyperbolic groups with torsion. (Effondrement de quotients aléatoires de groupes hyperboliques avec torsion.) Zbl 1077.20057
Ollivier, Yann
1
2005
Sharp phase transition theorems for hyperbolicity of random groups. Zbl 1064.20045
Ollivier, Y.
26
2004
Critical densities for random quotients of hyperbolic groups. Zbl 1050.20048
Ollivier, Yann
6
2003
Rate of convergence of crossover operators. Zbl 1051.92030
Ollivier, Yann
1
2003
all top 5

Cited by 589 Authors

14 Münch, Florentin
12 Liu, Shiping
11 Ollivier, Yann
9 Gruber, Dominik
9 Jost, Jürgen
8 Mazón Ruiz, José M.
8 Myasnikov, Alexei G.
8 Peyerimhoff, Norbert
8 Toledo, Julián
7 Rudolf, Daniel
7 Trugenberger, Carlo A.
6 Lin, Yong
6 Saucan, Emil
6 Solera, Marcos
6 Yamada, Taiki
5 Arzhantseva, Goulnara N.
5 Auger, Anne
5 Cushing, David
5 Eberle, Andreas
5 Fioravanti, Elia
5 Hagen, Mark F.
5 Hua, Bobo
5 Keller, Matthias
5 Li, Wuchen
5 Maas, Jan
5 Wise, Daniel T.
4 Ay, Nihat
4 Erbar, Matthias
4 Gozlan, Nathael
4 Hansen, Nikolaus
4 Huang, Jingyin
4 Kamtue, Supanat
4 Kapovich, Ilya
4 Mackay, John M.
4 Paeng, Seong-Hun
4 Samson, Paul-Marie
4 Schupp, Paul E.
4 Tetali, Prasad
4 Wojciechowski, Radosław Krzysztof
3 Barré, Sylvain
3 Bauer, Frank
3 Duchin, Moon
3 Farber, Michael S.
3 Fathi, Max
3 Garreta, Albert
3 Gilman, Robert H.
3 Karakida, Ryo
3 Kitabeppu, Yu
3 Kloeckner, Benoît R.
3 Majka, Mateusz B.
3 Monmarché, Pierre
3 Osin, Denis V.
3 Ovchinnikov, Denis
3 Paulin, Daniel
3 Pichot, Mikaël
3 Roberto, Cyril
3 Rubleva, Olga V.
3 Salez, Justin
3 Samal, Areejit
3 Sapir, Mark Valentinovich
3 Sisto, Alessandro
3 Sreejith, R. P.
3 Steenbock, Markus
3 Sturm, Karl-Theodor
3 Świątkowski, Jacek
3 Wang, Neng-Yi
3 Weber, Frederic
3 Zacher, Rico
3 Zimmer, Raphael
2 Adriani, Andrea
2 Akimoto, Youhei
2 Amari, Shun-ichi
2 Ambrosio, Luigi
2 Antoniuk, Sylwia
2 Ashcroft, Calum James
2 Bach, Francis R.
2 Barbaresco, Frédéric
2 Bassino, Frédérique
2 Beyrer, Jonas
2 Biancalana, Fabio
2 Boissard, Emmanuel
2 Bonciocat, Anca Iuliana
2 Bonnabel, Silvère
2 Bou-Rabee, Nawaf M.
2 Calegari, Danny Matthew Cornelius
2 Cashen, Christopher H.
2 Chen, Zongchen
2 Chung, Fan
2 Conforti, Giovanni
2 Coulon, Rémi
2 de Cornulier, Yves
2 De Palma, Giacomo
2 Diaconis, Persi Warren
2 Duncan, Andrew B.
2 Durmus, Alain
2 Gigli, Nicola
2 Guillin, Arnaud
2 Hairer, Martin
2 Hobert, James P.
2 Huang, Yan
...and 489 more Authors
all top 5

Cited in 180 Serials

16 The Annals of Applied Probability
14 Journal of Functional Analysis
11 Advances in Mathematics
10 Bernoulli
9 Calculus of Variations and Partial Differential Equations
8 Israel Journal of Mathematics
8 Stochastic Processes and their Applications
7 Transactions of the American Mathematical Society
6 Mathematische Zeitschrift
6 Discrete & Computational Geometry
6 Journal of Machine Learning Research (JMLR)
5 Mathematische Annalen
5 Proceedings of the American Mathematical Society
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Algebraic & Geometric Topology
5 Groups, Geometry, and Dynamics
5 Information Geometry
4 Discrete Mathematics
4 Bulletin of the London Mathematical Society
4 Journal of the London Mathematical Society. Second Series
4 Probability Theory and Related Fields
4 SIAM Journal on Discrete Mathematics
4 Geometric and Functional Analysis. GAFA
4 Electronic Journal of Probability
4 Journal of High Energy Physics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Statistical Mechanics: Theory and Experiment
4 Electronic Journal of Statistics
4 Journal of Topology and Analysis
3 Classical and Quantum Gravity
3 Journal of Statistical Physics
3 Physica A
3 The Annals of Probability
3 Compositio Mathematica
3 Journal of Algebra
3 Journal of Graph Theory
3 Ergodic Theory and Dynamical Systems
3 Statistics & Probability Letters
3 Algorithmica
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Experimental Mathematics
3 Potential Analysis
3 Geometry & Topology
3 Entropy
3 Quantum Information Processing
3 Bulletin of Mathematical Sciences
3 Statistics and Computing
3 Analysis and Geometry in Metric Spaces
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Moscow University Mathematics Bulletin
2 Chaos, Solitons and Fractals
2 Annales de l’Institut Fourier
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Osaka Journal of Mathematics
2 Theoretical Computer Science
2 Tôhoku Mathematical Journal. Second Series
2 European Journal of Combinatorics
2 Journal of the American Mathematical Society
2 Random Structures & Algorithms
2 Neural Computation
2 International Journal of Algebra and Computation
2 Differential Geometry and its Applications
2 The Journal of Geometric Analysis
2 Journal of Global Optimization
2 SIAM Review
2 SIAM Journal on Scientific Computing
2 The Journal of Fourier Analysis and Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Annales Henri Poincaré
2 Central European Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Oberwolfach Reports
2 Frontiers of Mathematics in China
2 Analysis & PDE
2 Groups, Complexity, Cryptology
2 Axioms
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 SIAM/ASA Journal on Uncertainty Quantification
2 Journal de l’École Polytechnique – Mathématiques
1 Advances in Applied Probability
1 Archive for Rational Mechanics and Analysis
1 Communications in Algebra
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Nonlinearity
1 Russian Mathematical Surveys
1 Scandinavian Journal of Statistics
1 The Annals of Statistics
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
...and 80 more Serials
all top 5

Cited in 48 Fields

130 Probability theory and stochastic processes (60-XX)
113 Group theory and generalizations (20-XX)
97 Differential geometry (53-XX)
92 Combinatorics (05-XX)
50 Numerical analysis (65-XX)
41 Statistics (62-XX)
39 Computer science (68-XX)
33 Partial differential equations (35-XX)
29 Operations research, mathematical programming (90-XX)
28 Manifolds and cell complexes (57-XX)
25 Global analysis, analysis on manifolds (58-XX)
25 Statistical mechanics, structure of matter (82-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
18 Convex and discrete geometry (52-XX)
15 Operator theory (47-XX)
14 Measure and integration (28-XX)
13 Quantum theory (81-XX)
13 Information and communication theory, circuits (94-XX)
10 Topological groups, Lie groups (22-XX)
10 Real functions (26-XX)
10 Difference and functional equations (39-XX)
10 Functional analysis (46-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Relativity and gravitational theory (83-XX)
8 Potential theory (31-XX)
8 Geometry (51-XX)
6 Mathematical logic and foundations (03-XX)
6 Algebraic topology (55-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Systems theory; control (93-XX)
4 Number theory (11-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Integral equations (45-XX)
4 General topology (54-XX)
4 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Abstract harmonic analysis (43-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Mathematics education (97-XX)

Citations by Year